1139152320 has 336 divisors, whose sum is σ = 4236598080. Its totient is φ = 279871488.

The previous prime is 1139152309. The next prime is 1139152331. The reversal of 1139152320 is 232519311.

1139152320 is a `hidden beast` number, since 1 + 139 + 1 + 523 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1139152309) and next prime (1139152331).

It is a super-2 number, since 2×1139152320² = 2595336016322764800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2594661 + ... + 2595099.

Almost surely, 2^1139152320 is an apocalyptic number.

1139152320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118299040).

1139152320 is an abundant number, since it is smaller than the sum of its proper divisors (3097445760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1139152320 is a wasteful number, since it uses less digits than its factorization.

1139152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1139152320 is about 33751.3306404355. The cubic root of 1139152320 is about 1044.3849375416.

The spelling of 1139152320 in words is "one billion, one hundred thirty-nine million, one hundred fifty-two thousand, three hundred twenty".